I have a sneaking suspicion that this might should do an IN clause and then handle the sorting in code, but if you want to keep it in SQL, you can do:
SELECT *
FROM Stylesheets
WHERE
ID IN (14, 1, 5)
ORDER BY ID = 14, ID = 1, ID = 5;
Don't use backticks when you don't have to by the way. They're extra typing, and they pretty much kill portability (for no reason -- you'll eventually have to kill portability for some reason or other).
Also, I'm not a fan of ALL_CAPS identifiers. They blend in too closely with keywords which tend to be all caps ("ID IN" looks pretty odd for example).
Perhaps your actual use of this is different, but if 14, 1, and 5 are actually hard coded, that's a bit fragile. It would be better to assign them to some kind of constant and then use that in the query. Or, if you wanted to go a step farther, you could even assign them some kind of code in addition to an int primary key ('reset', 'layout', 'colors'), then not only are they less likely to change (what if they get inserted in a different order next time? suddenly all your IDs are wrong), they're also easier to remember, and the values of your constants will have more meaning.